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Finding the Fourth Proportional to 2,714.85, 4,070.16 and 1,645.47

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Solution

The fourth proportional to 2,714.85, 4,070.16 and 1,645.47 is: 2,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.85 : 4,070.16 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    2,714.85/4,070.16 = 1,645.47/x
  3. Step 3: Cross multiply
    2,714.85x = 4,070.16 × 1,645.47
  4. Step 4: Simplify right side
    2,714.85x = 6,697,326.18
  5. Step 5: Solve for x
    x = 6,697,326.18/2,714.85
  6. Step 6: Final answer
    x = 2,466.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.